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Removable singularities for sections of Riemannian submersions of prescribed mean curvature
Authors:Claudemir Leandro
Institution:a Instituto de Matemática Pura e Aplicada, IMPA, Estrada Dona Castorina 110, Rio de Janeiro 22460-320, Brazil
b Institut de Mathématiques, Université Paris VII, 2 place Jussieu, 75005 Paris, France
Abstract:We will prove that isolated singularities of sections with prescribed mean curvature of a Riemannian submersion fibered by geodesics of a vertical Killing field, are removable. Also we obtain information on the growth of the difference of two sections View the MathML source, having the same prescribed mean curvature and u=v on ∂Ω. This generalizes Theorem 2 of P. Collin, R. Krust, Le problème de Dirichlet l'équation des surfaces minimales sur des domaines non bornés, Bull. S.M.F. 119 (4) (1991) 443-462].
Keywords:35J60  53C42
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